Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B2

Chapter

Calculus

Question:

If $x^y=e^{x-y}, x> 0, $ then $\frac{dy}{dx}$ is equal to :

Options:

$-\left[\frac{log_ex}{(1+log_ex)^2}\right]$

$\frac{log_ex}{(1+log_ex)^2}$

$-\frac{log_ex}{1+log_ex}$

$\frac{log_ex}{1+log_ex}$

Correct Answer:

$\frac{log_ex}{(1+log_ex)^2}$